Singer and McMann are partners in a business. Singer$$s original capital was $$40,000$ and McMann$$s was $$60,000.$ They agree to salaries of $$12,000$ and $$18,000$ for Singer and McMann, respectively, and $10\%$ interest on original capital. If they agree to share the remaining profits and losses in a $3$:$2$ ratio, what will Singer$$s share of the income be if the income for the year is $$15,000?$

a$.$ $$5,600$

b$.$ $$9,000$

c$.$ $$1,000$

d$.$ $$2,400$